{
  "id": "1205.2542",
  "version": "v2",
  "published": "2012-05-11T14:52:20.000Z",
  "updated": "2013-02-16T19:11:41.000Z",
  "title": "On weak$^*$-convergence in $H^1_L(\\mathbb R^d)$",
  "authors": [
    "Luong Dang Ky"
  ],
  "comment": "Potential Anal. (to appear)",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "Let $L= -\\Delta+ V$ be a Schr\\\"odinger operator on $\\mathbb R^d$, $d\\geq 3$, where $V$ is a nonnegative function, $V\\ne 0$, and belongs to the reverse H\\\"older class $RH_{d/2}$. In this paper, we prove a version of the classical theorem of Jones and Journ\\'e on weak$^*$-convergence in the Hardy space $H^1_L(\\mathbb R^d)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-16T19:11:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "46E15"
    ],
    "keywords": [
      "convergence",
      "hardy space",
      "nonnegative function",
      "classical theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.2542D"
    }
  }
}